To be surpassed by: I have nothing on her in the experience department(1906+)
The Dictionary of American Slang, Fourth Edition by Barbara Ann Kipfer, PhD. and Robert L. Chapman, Ph.D. Copyright (C) 2007 by HarperCollins Publishers. Cite This Source
Idioms and Phrases with have nothing on
not have anything on.
Have no advantage over something or someone, as in This car has nothing on my old one.
[ c. 1900
Have no damaging information or proof of wrongdoing about someone, as in The police had nothing on him and so were forced to let him go. This usage is the antonym of
have something on someone, as in Blackmail requires that you have something on someone wealthy.
[ c. 1920
Have nothing scheduled for a certain time, as in We have nothing on tonight, so why don't you come over? This expression, and its antonym,
have something on, are abbreviations of have nothing (or something) going on.
Be naked, as in Please bring in the mail; I just took a bath and don't have anything on.